momentum1

benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
T. Koch	5174	42680	4.67295e-04	easy	momentum	109143.4935	momentum1.mps.gz

Snapshot based UMTS planning problem, having a very wide dynamic range in the matrix coefficients and tending to be numerically unstable. Solved with Gurobi 4.5.1 on a 12-core Linux system in 3590.41 sec. Imported from MIPLIB2010.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	5174	3813
Constraints	42680	26489
Binaries	2349	1664
Integers	0	0
Continuous	2825	2149
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000467295	0.000658617
Nonzeroes	103191	66522

Constraint Classification Properties
	Original	Presolved
Total	42680	26489
Empty	0	0
Free	0	0
Singleton	52	0
Aggregations	6	10
Precedence	2445	1543
Variable Bound	33111	20198
Set Partitioning	92	85
Set Packing	0	0
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	38	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	6936	4653
General Linear	0	0
Indicator	0	0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

Nonzero entries of original problem

Nonzero entries after trivial presolving

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving (dec-file)

	value	min	median	mean	max
Components	0.698970
Constraint %		0.0037800	20.6086	0.0132130	82.4040
Variable %		0.0521921	23.9040	0.0782881	95.4071
Score	0.038149

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

ID	Objective	Exact	Int. Viol	Cons. Viol	Obj. Viol	Submitter	Date	Description
2	109143.5	109143.5	0	1e-06	0	-	2018-10-11	Solution imported from MIPLIB2010.
1	109143.5	109143.5	0	8e-07	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to momentum1 in the collection. This similarity analysis is based on 100 scaled instance features describing properties of the variables, objective function, bounds, constraints, and right hand sides.

Instance	Status	Variables	Binaries	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
neos-5196530-nuhaka	hard	14544	9792	4752	42124	171702	Jeff Linderoth	neos-pseudoapplication-32	0.006821675088566438	aggregations precedence variable_bound set_partitioning cardinality invariant_knapsack knapsack mixed_binary
neos-5195221-niemur	easy	14546	9792	4754	42256	176586	Jeff Linderoth	neos-pseudoapplication-32	0.0038354326	benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality invariant_knapsack knapsack mixed_binary
bmoipr2	easy	20503	8434	12069	13897	54649	Sean MacDermant	–	-46416168.2981393	decomposition numerics aggregations variable_bound set_packing mixed_binary
neos-5193246-nerang	easy	14546	9792	4754	42256	175794	Jeff Linderoth	neos-pseudoapplication-32	0.03821976217279999	benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality invariant_knapsack knapsack mixed_binary
neos-4358725-tagus	open	11494	4898	6596	22777	59925	Jeff Linderoth	neos-pseudoapplication-57	4206.140099965*	numerics aggregations precedence variable_bound set_partitioning invariant_knapsack mixed_binary general_linear

Reference

@techreport{MOMENTUM-D43,
 author = {A. {Eisenbl\"atter} and A. {F\"ugenschuh} and E.R. Fledderus and H.-F. Geerdes and B. Heideck and D. Junglas and T. Koch and T. {K\"urner} and A. Martin},
 editor = {A. Martin},
 instance = {momentum1,momentum2,momentum3},
 institution = {IST-2000-28088 MOMENTUM},
 language = {English},
 number = {D4.3},
 title = {Mathematical Methods for Automatic Optimization of {UMTS} Radio Networks},
 year = {2003}
}